The phrase "go on the Moon" can have different interpretations depending on the context and how it is used. Both interpretations you mentioned are possible, but they convey slightly different meanings:
"Go to the Moon": This interpretation refers to traveling from Earth to the Moon, essentially reaching the Moon's vicinity or orbit. It implies the act of reaching the Moon without necessarily specifying any specific activities on the lunar surface.
"Wander on the surface of the Moon": This interpretation refers to physically exploring and moving about on the Moon's surface. It implies direct engagement with the lunar environment, such as walking, conducting experiments, or exploring the various features and landscapes.
The precise meaning of the phrase depends on the context in which it is used. In scientific or space-related discussions, "go on the Moon" might often refer to a mission or activity involving the Moon's surface. However, in casual conversation, it could be used more loosely to simply mean "go to the Moon" without emphasizing surface exploration.
To avoid ambiguity, it is generally clearer to specify the intended meaning explicitly, whether it is "go to the Moon" or "wander on the surface of the Moon."